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Finding the Third Proportional to 2,587 and 2,989

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Solution

The third proportional to 2,587 and 2,989 is: 3,453.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587 : 2,989 = 2,989 : x
  2. Step 2: Convert to fraction form
    2,587/2,989 = 2,989/x
  3. Step 3: Cross multiply
    2,587x = 2,989 × 2,989
  4. Step 4: Simplify right side
    2,587x = 8,934,121
  5. Step 5: Solve for x
    x = 8,934,121/2,587
  6. Step 6: Final answer
    x = 3,453.47

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.